Marsha notices that all of her siblings are more than 5 foot 2 inches tall but at most 6 foot 1 inch tall. Write an inequality or pair of inequalities to represent all possible values, in inches, for Marsha’s siblings heights. Graph this set of values on the number line.

62 < x 73

Step-by-step explanation:

5 feet and 2 inches all in inches would be 62 (12 inches per foot, multiplied by five equals 60, add 2). 6 feet and 1 inch would be 73 inches (12 inches per foot, multiplied by six equals 72, add 1).

Since this inequality has words such as "more than" we have to use # < x. But since at most also applies, we have to use x #.

All her siblings are over 62 inches, so 62 < x. Remember the at most 73 inches, which would be 73 x. We can conclude that the inequalities would be expressed as 62 < x 73.